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Path independent multiplicatively decomposable inequality measures


  • Mª Casilda Lasso de la Vega

    (Universidad del País Vasco)

  • Ana Marta Urrutia

    (Universidad del País Vasco)


Foster and Shneyerov (2000) explore an additive decomposition property for inequality measures that they call path independent decomposition. They characterise the class of measures that have this property. Taking their results as a reference, we seek here to generalise the notion of decomposability, and to characterise inequality measures that admit path independent multiplicative decomposition. It is shown that all the measures in this family can be generated on the basis of Atkinson’s index for value 1 of the inequality aversion parameter. (Copyright: Fundación SEPI)

Suggested Citation

  • Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2005. "Path independent multiplicatively decomposable inequality measures," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 379-387, May.
  • Handle: RePEc:iec:inveco:v:29:y:2005:i:2:p:379-387

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    References listed on IDEAS

    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Eytan Sheshinski, 1977. "Taxation, Inflation, and Monetary Policy," NBER Working Papers 0203, National Bureau of Economic Research, Inc.
    3. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
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    Cited by:

    1. Frank Cowell & Carlo Fiorio, 2011. "Inequality decompositions—a reconciliation," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 509-528, December.
    2. Balcázar, Carlos Felipe, 2015. "Lower bounds on inequality of opportunity and measurement error," Economics Letters, Elsevier, vol. 137(C), pages 102-105.
    3. Li Donni, P & Peragine, V & Pignataro G, 2011. "Measuring equity in health: a normative decomposition," Health, Econometrics and Data Group (HEDG) Working Papers 11/06, HEDG, c/o Department of Economics, University of York.
    4. Giuseppe Pignataro, 2010. "Measuring equality of opportunity by Shapley value," Economics Bulletin, AccessEcon, vol. 30(1), pages 786-798.
    5. Casilda Lasso de la Vega & Ana Urrutia, 2008. "The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures, and some new graphical procedures for analysts," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(2), pages 211-225, June.
    6. Frank Cowell & Carlo V. Fiorio, 2010. "GINI DP 4: Inequality Decompositions," GINI Discussion Papers 4, AIAS, Amsterdam Institute for Advanced Labour Studies.
    7. Francisco J. Goerlich-Gisbert & Casilda Lasso de la Vega & Ana Marta Urrutia, 2009. "The ‘extended’ Atkinson family and changes in the expenditure distribution. Spain 1973/74-2003," Journal of Income Distribution, Journal of Income Distribution, vol. 18(1), pages 20-41, March.

    More about this item


    Atkinson inequality measure; path independent decomposition.;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement


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